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- W3140069663 abstract "We investigate the escape behavior of systems governed by the one-dimensional nonlinear Kramers' equation ()W/()t = -v()W/()x + (f'(x)/m)(()W/()v) + γ()(vW)/()v + (γkBT/m)(()2Wμ/()v2), where f(x) is a metastable potential and μ an anomalous exponent. We obtain an expression for the transition state theory escape rate, whose predictions are in good agreement with numerical simulations. The results exhibit the anomalies due to the nonlinearity in W that the TST rate grows with T and drops as μ becomes large at a fixed T. Indeed, particles in the subdiffusive media (μ＞ 1)can escape over the barrier only when T is above a critical value, while there does not exist this confinement in the superdiffusive media (μ＜1)." @default.
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- W3140069663 date "2005-01-01" @default.
- W3140069663 modified "2023-10-18" @default.
- W3140069663 title "Transition State Theory Rate in Nonlinear Environment： the Under-damping Case" @default.
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